59401875625 has 15 divisors (see below), whose sum is σ = 74236198531. Its totient is φ = 47516626000.

The previous prime is 59401875619. The next prime is 59401875629. The reversal of 59401875625 is 52657810495.

It is a happy number.

The square root of 59401875625 is 243725.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 58744671129 + 657204496 = 242373^2 + 25636^2 .

It is not a de Polignac number, because 59401875625 - 2⁵ = 59401875593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (59401875629) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6088251 + ... + 6097999.

Almost surely, 2^59401875625 is an apocalyptic number.

59401875625 is the 243725-th square number.

59401875625 is the 121863-rd centered octagonal number.

It is an amenable number.

59401875625 is a deficient number, since it is larger than the sum of its proper divisors (14834322906).

59401875625 is an frugal number, since it uses more digits than its factorization.

59401875625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19518 (or 9754 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 52.

The spelling of 59401875625 in words is "fifty-nine billion, four hundred one million, eight hundred seventy-five thousand, six hundred twenty-five".